| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Bio-convective flow of gyrotactic microorganisms in nanofluid through a curved oscillatory channel with Cattaneo–Christov double diffusion theory |
| Imran M1,†, Naveed M1, Rafiq M Y2, and Abbas Z2 |
1 Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, Pakistan;
2 Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan |
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Abstract The present study investigates the flow, heat, and mass transfer analysis in the bioconvection of nanofluid containing motile gyrotactic microorganisms through a semi-porous curved oscillatory channel with a magnetic field. These microorganisms produce density gradients by swimming, which induces macroscopic convection flows in the fluid. This procedure improves the mass and heat transfer, illustrating the interaction between biological activity and fluid dynamics. Furthermore, instead of considering traditional Fourier's and Fick's law the energy and concentration equations are developed by incorporating Cattaneo-Christov double diffusion theory. Moreover, to examine the influence of thermophoresis and Brownian diffusions in the fluid we have adopted the Buongiorno nanofluid model. Due to the oscillation of the surface of the channel, the mathematical development of the considered flow problem is obtained in the form of partial differential equations via the curvilinear coordinate system. The convergent series solution of the governing flow equations is obtained after applying the homotopy analysis method (HAM). The effects of different pertinent flow parameters on velocity, motile microorganism density distribution, concentration, pressure, temperature, and skin friction coefficient are examined and discussed in detail with the help of graphs and tables. It is observed during the current study that the density of microorganisms is enhanced for higher values of Reynolds number, Peclet number, radius of curvature variable, and Lewis number.
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Received: 02 March 2025
Revised: 08 May 2025
Accepted manuscript online: 04 June 2025
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PACS:
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44.05.+e
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(Analytical and numerical techniques)
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44.20.+b
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(Boundary layer heat flow)
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82.60.Qr
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(Thermodynamics of nanoparticles)
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44.25.+f
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(Natural convection)
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Corresponding Authors:
Imran M
E-mail: imran@ue.edu.pk
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Cite this article:
Imran M, Naveed M, Rafiq M Y, and Abbas Z Bio-convective flow of gyrotactic microorganisms in nanofluid through a curved oscillatory channel with Cattaneo–Christov double diffusion theory 2026 Chin. Phys. B 35 014401
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[1] Berman A S 1953 J. Appl. Phys. 24 1232
[2] Abbas Z, Sajid M and Hayat T 2006 Theor. Comput. Fluid Dyn. 20 229
[3] Ali N, Khan S U, Sajid M and Abbas Z 2016 Nonlinear Engineering 5 73
[4] Aleem M, Asjad M I, Ahmadian A, Salimi M and Ferrara M 2020 Eur. Phys. J. Plus 135 1
[5] Ali K, Ahmad A, Ahmad S, Nisar K S and Ahmad S 2023 Waves in Random and Complex Media 1
[6] Hamza M M, Abdulsalam S and Ahmad S K 2023 Adv. Math. Phys. 2023
[7] Sajid M, Iqbal S A, Naveed M and Abbas Z 2016 J. Molecular Liquids 222 1115
[8] Abbas Z, Rafiq M and Naveed M 2018 Journal of the Brazilian Society of Mechanical Sciences and Engineering 40 390
[9] Abbas Z, Imran M and Naveed M 2019 Thermal Science-Part A 23 3379
[10] Abbasi A, Farooq W, Din E S M T, Khan S U, Khan M I, Guedri K, Elattar S, Waqas M and Galal A M 2022 Micromachines 13 1415
[11] Naveed M, Imran M, Akhtar S, Abbas Z and Ullah S 2023 Ricerche di Matematica 72 299
[12] Misra J C, Shit G C, Chandra S and Kundu P K 2011 Journal of Engineering Mathematics 69 91
[13] Ali A and Asghar S 2014 J. Aerospace Engineering 27 644
[14] Khan S U, Ali N, Sajid M and Hayat T 2019 Proceedings of the National Academy of Sciences A: Physical Sciences 89 377
[15] Raghunatha K R and Vinod Y 2023 Heat Transfer 52 5214
[16] DeviMP and Srinivas S 2023 Nonlinear Analysis: Modelling and Control 28 1
[17] Naveed M, Imran M and Gul S 2023 Advances in Mechanical Engineering 15 16878132231155823
[18] Imran M, Naveed M and Abbas Z 2023 Advances in Mechanical Engineering 15 16878132231156742
[19] Imran M, Naveed M, Iftikhar B and Abbas Z 2023 ZAMM Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik e202200600
[20] Abbas Z, Imran M and Naveed M 2022 Arabian Journal for Science and Engineering 47 16059
[21] Azam M, Khan W A and Nayak M K 2023 Case Studies in Thermal Engineering 49 103250
[22] Naveed M 2023 Chem. Phys. Lett. 140682
[23] Sadighi S, Afshar H, Jabbari M and Ashtiani H A D 2023 Case Studies in Thermal Engineering 49 103345
[24] Imran M, Abbas Z and Naveed M 2021 Appl. Math. Mech. 42 1461
[25] Khan M R and Mao S 2023 International Journal of Hydrogen Energy
[26] Abbas N, Ali M, Shatanawi W and Mustafa Z 2023 Alexandria Engineering Journal 81 101
[27] Faisal M, Ahmad I and Awan M A 2024 Heat Transfer 53 646 |
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